Departmental Bulletin Paper <Article> Revisitng Unit Fractions That Sum to 1 (Special Issue of the Faculty of Economics)

西山,豊

66 ( 2 )  , pp.95 - 100 , 2015-07-15
ISSN:0474-7909
NCID:AN00028448
Description
This paper is a continuation of a previous paper. Here, as there, we examine the problem of finding the maximum number of terms in a partial sequence of distinct unit fractions larger than 1/100 that sums to 1. In the previous paper, we found that the maximum number of terms is 42 and introduced a method for showing that. In this paper, we demonstrate that there are 27 possible solutions with 42 terms, and discuss how primes show that no 43-term solution exists.
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